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Finding the Fourth Proportional to 12,196.06, 18,292.20 and 3,875

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Solution

The fourth proportional to 12,196.06, 18,292.20 and 3,875 is: 5,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.06 : 18,292.20 = 3,875 : x
  2. Step 2: Convert to fraction form
    12,196.06/18,292.20 = 3,875/x
  3. Step 3: Cross multiply
    12,196.06x = 18,292.20 × 3,875
  4. Step 4: Simplify right side
    12,196.06x = 70,882,275
  5. Step 5: Solve for x
    x = 70,882,275/12,196.06
  6. Step 6: Final answer
    x = 5,811.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.